Space-Filling Curve

What do you call that fractal that, in the limit, crosses every point in a plane, but still has finite length?

That’s how Santa does it!

God the music, oh the awful awful music. Otherwise that is pretty cool.


Oh space filling curves. Peano, Cantor, Hilbert? I’m supposing you are referring to a Hilbert curve, but it has to be scaled to hit “every” point in a plane. It’s been a long time since I touched any of that math frankly.


The Santor set?

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